We review here the continued fraction method for obtaining the metric function of EQG under the ansatz of spherical symmetry [1]}. Consider an asymptotically flat, static and spherically symmetric vacuum black hole whose metric is of the form
\(ds^2 = -f(r) dt^2 +\frac{dr^2}{f(r)} + r^2\left(d\theta ^2 + \sin ^2\theta d\phi ^2 \right),\) 
